Preference: Hugs
Caspian
He's very rough when he hugs you. His arms are wrapped tightly around your body, head nuzzled into your neck. His hugs are very tight too, though he sometimes doesn't notice that fact. Once you mentioned it, he apologized but said the he doesn't wanted anything to hurt you, so he hugs you close to him. You blushed and never said anything about his hugs again.
Peter
Peter's hugs are very scarce. He, infact, only shows affection when you are about to be parted. However, the hugs he does give you are very sweet. His arms are wrapped parallel around your torso, one hand on your waist, the other stroking your hair. He will usually uses this time to give you a chaste kiss.
Edmund
You didn't pin Edmund for a lovey-dovey person when you met him, though he proved you wrong once you started dating. If y'all were in the same room, you were connected physically in some way. You might be holding hands, you might be sitting in his lap. However, your favorite part is when you're both standing and he hugs you from behind, nuzzling his head into your hair and pressing a soft kiss to your neck.